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Finding the Third Proportional to 272,376 and 581,808

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Solution

The third proportional to 272,376 and 581,808 is: 1,242,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,376 : 581,808 = 581,808 : x
  2. Step 2: Convert to fraction form
    272,376/581,808 = 581,808/x
  3. Step 3: Cross multiply
    272,376x = 581,808 × 581,808
  4. Step 4: Simplify right side
    272,376x = 338,500,548,864
  5. Step 5: Solve for x
    x = 338,500,548,864/272,376
  6. Step 6: Final answer
    x = 1,242,769.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.